Question

NEED HELP ASAP. The pictures goes with the problems.

11. Quadrilateral GEOM is a parallelogram. Find m∠E (measured angle E).

Answer 1

Answer: m∠
`E=74\°`

Explanation:

1. By definition, the adjacent angles of a parallelogram are supplementary, they add up 180 degrees. Therefore, in the given parallelogram:

`O+M=180`

`3x+1+2x+4=180`

2. Then, you must solve for x, as following:

`5x+5=180`

`5x=175\\x=35`

3. Substitute the value of x obtained into
`2x+4` to calculate the angle M:

`2x+4=2(35)+4=74`

Then:

m∠
`M=74\°`

4. By definition the opposite angles of a parallelogram are equal, therefore:

`E=M\\E=74\°`